2(4x+8)=4(10x+6)

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Solution for 2(4x+8)=4(10x+6) equation:


Simplifying
2(4x + 8) = 4(10x + 6)

Reorder the terms:
2(8 + 4x) = 4(10x + 6)
(8 * 2 + 4x * 2) = 4(10x + 6)
(16 + 8x) = 4(10x + 6)

Reorder the terms:
16 + 8x = 4(6 + 10x)
16 + 8x = (6 * 4 + 10x * 4)
16 + 8x = (24 + 40x)

Solving
16 + 8x = 24 + 40x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-40x' to each side of the equation.
16 + 8x + -40x = 24 + 40x + -40x

Combine like terms: 8x + -40x = -32x
16 + -32x = 24 + 40x + -40x

Combine like terms: 40x + -40x = 0
16 + -32x = 24 + 0
16 + -32x = 24

Add '-16' to each side of the equation.
16 + -16 + -32x = 24 + -16

Combine like terms: 16 + -16 = 0
0 + -32x = 24 + -16
-32x = 24 + -16

Combine like terms: 24 + -16 = 8
-32x = 8

Divide each side by '-32'.
x = -0.25

Simplifying
x = -0.25

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